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3 years ago

John purchased 1/4 lbs of hamburger for $0.75 how much did the hamburger cost per pound

Mathematics

1 answer:

sattari [20]3 years ago

8 0

there are 4 1/4 per a whole

so multiply 0.75 x 4

0.75 x 4 = 3.00 dollars per pound

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If f(x) = 7+ 4x and g(x) = 1/2,

olchik [2.2K]

270

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ f(x) = 7 + 4x \ }$
$\boxed{ \ g(x) = \frac{1}{2x} \ }$

<u>Question:</u>

What is the value of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }$

<u>The Process:</u>

The form of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ }$ means that f(x) is divided by g(x).

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}$

Let us solve the problem.

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }$

Thus, we get $\boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}$

And now, we can calculate the value of $\bigg( \frac{f}{g} \bigg)(5)$ .

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }$

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }$

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}$

<h3>Learn more</h3>

If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
Solve for the value of the function composition brainly.com/question/2142762
If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

#learnwithBrainly

5 0

3 years ago

The volume of a cube is 2197mm (cubed) what is the length of its side

Mademuasel [1]

Answer:

l^3=volume of cube

l^3=2197

l=13

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3 years ago

Find the area of the triangle<br> in square inches.<br> height 110 in.<br> length 1.5 ft

GarryVolchara [31]

9514 1404 393

Answer:

990 square inches

Step-by-step explanation:

The area is the half the product of length and height.

A = (1/2)(18 in)(110 in) = 990 in²

The area of the triangle is 990 square inches.

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3 years ago

40. When you translate, (x, y+6) will move

VikaD [51]

Answer:

A 6 units up

Translation rule

Y rule

+= up

-= down

X rule

+= right

-=left

Reflection rule

Reflection over x axis

Y that was once a positive number, is flipped to a negative

example

6,2 reflected over the x axis.

2=-2

Y axis rule example

-2,7 reflected over the y axis

-2=2

Step-by-step explanation:

If it ever says (example,example) like flipped over the x, it will change the y.

Same for a flip over the y, it will change the x

3 0

3 years ago

Read 2 more answers

A car salesman receives a base weekly salary of $150 plus a commission of $325 per car sold. What is the equation that models th

Temka [501]

Given :

Weekly salary , S = $150.

Commission per car , C = $325.

To Find :

The the equation that models the weekly salary of a car salesman.

Solution :

We know it is a quadratic equation :

Let , the equation is , y = mx + c

Here, x is number of car sold in a week.

For x = 0 ( He will not get commission)

So , Salary is $150 = c .

For x = 1

Salary is $( 150 + 325 ) = $475 = m(1) + c

Therefore , m = $325 and c = $150.

Required linear equation is y = 325x + 150.

Hence, this is the required solution.

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3 years ago